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Finding the Fourth Proportional to 475,611.40, 712,812.30 and 194,811.40

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Solution

The fourth proportional to 475,611.40, 712,812.30 and 194,811.40 is: 291,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,611.40 : 712,812.30 = 194,811.40 : x
  2. Step 2: Convert to fraction form
    475,611.40/712,812.30 = 194,811.40/x
  3. Step 3: Cross multiply
    475,611.40x = 712,812.30 × 194,811.40
  4. Step 4: Simplify right side
    475,611.40x = 138,863,962,100.22
  5. Step 5: Solve for x
    x = 138,863,962,100.22/475,611.40
  6. Step 6: Final answer
    x = 291,969.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.